Numerical and analytical results for geometric measure of coherence and geometric measure of entanglement.

ABSTRACT: Quantifying coherence and entanglement is extremely important in quantum information processing. Here, we present numerical and analytical results for the geometric measure of coherence, and also present numerical results for the geometric measure of entanglement. On the one hand, we first provide a semidefinite algorithm to numerically calculate geometric measure of coherence for arbitrary finite-dimensional mixed states. Based on this semidefinite algorithm, we test randomly generated single-qubit states, single-qutrit states, and a special kind of d-dimensional mixed states. Moreover, we also obtain an analytical solution of geometric measure of coherence for a special kind of mixed states. On the other hand, another algorithm is proposed to calculate the geometric measure of entangleme

SUBMITTER: Zhang Z 

PROVIDER: S-EPMC7374728 | biostudies-literature | 2020 Jul

REPOSITORIES: biostudies-literature